Hydrodynamical description of the QCD Dirac spectrum at finite chemical potential

We present a hydrodynamical description of the QCD Dirac spectrum at finite chemical potential as an incompressible droplet in the complex eigenvalue space. For a large droplet, the fluctuation spectrum around the hydrostatic solution is gapped by a longitudinal Coulomb plasmon and exhibits a frictionless odd viscosity. The stochastic relaxation time for the restoration or breaking of chiral symmetry is set by twice the plasmon frequency. The leading droplet size correction to the relaxation time is fixed by a universal odd viscosity to density ratio ηO/ρ0=(β-2)/4 for the three Dyson ensembles β=1, 2, 4.